p-adic physics below and above Planck scales

We present a review and also new possible applications of p-adic numbers to pre-space-time physics. It is shown that instead of the extension IRn --> Q(p)(n), which is usually implied in p-adic quantum field theory, it is possible to build a model based on the IRn --> Q(p), where p=n+2 extension and get rid of loop divergences. It is also shown that the concept of mass naturally arises in p-adic models as inverse transition probability with a dimensional constant of proportionality. (C) 1999 Published by Elsevier Science Ltd. All rights reserved.